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Finding the Third Proportional to 106,818 and 166,059

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Solution

The third proportional to 106,818 and 166,059 is: 258,154.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,818 : 166,059 = 166,059 : x
  2. Step 2: Convert to fraction form
    106,818/166,059 = 166,059/x
  3. Step 3: Cross multiply
    106,818x = 166,059 × 166,059
  4. Step 4: Simplify right side
    106,818x = 27,575,591,481
  5. Step 5: Solve for x
    x = 27,575,591,481/106,818
  6. Step 6: Final answer
    x = 258,154.91

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.